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Finding the Third Proportional to 363,768 and 793,614

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Solution

The third proportional to 363,768 and 793,614 is: 1,731,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,768 : 793,614 = 793,614 : x
  2. Step 2: Convert to fraction form
    363,768/793,614 = 793,614/x
  3. Step 3: Cross multiply
    363,768x = 793,614 × 793,614
  4. Step 4: Simplify right side
    363,768x = 629,823,180,996
  5. Step 5: Solve for x
    x = 629,823,180,996/363,768
  6. Step 6: Final answer
    x = 1,731,386.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.